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Simplifying 3x + 1 + x + 10 = 6x + 1 Reorder the terms: 1 + 10 + 3x + x = 6x + 1 Combine like terms: 1 + 10 = 11 11 + 3x + x = 6x + 1 Combine like terms: 3x + x = 4x 11 + 4x = 6x + 1 Reorder the terms: 11 + 4x = 1 + 6x Solving 11 + 4x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 4x + -6x = 1 + 6x + -6x Combine like terms: 4x + -6x = -2x 11 + -2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -2x = 1 + 0 11 + -2x = 1 Add '-11' to each side of the equation. 11 + -11 + -2x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 1 + -11 -2x = 1 + -11 Combine like terms: 1 + -11 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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